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Simplifying -6(2u + -5v + 7w) = 0 (2u * -6 + -5v * -6 + 7w * -6) = 0 (-12u + 30v + -42w) = 0 Solving -12u + 30v + -42w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-30v' to each side of the equation. -12u + 30v + -30v + -42w = 0 + -30v Combine like terms: 30v + -30v = 0 -12u + 0 + -42w = 0 + -30v -12u + -42w = 0 + -30v Remove the zero: -12u + -42w = -30v Add '42w' to each side of the equation. -12u + -42w + 42w = -30v + 42w Combine like terms: -42w + 42w = 0 -12u + 0 = -30v + 42w -12u = -30v + 42w Divide each side by '-12'. u = 2.5v + -3.5w Simplifying u = 2.5v + -3.5w
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